Kernel integrals

Collaboration diagram for Kernel integrals:

Functions
int	BlipIntegrate (long Degree, double Argument, double *Result)
double	Blip00Integrate (double Argument)
double	Blip01Integrate (double Argument)
double	Blip03Integrate (double Argument)
int	BsplineIntegrate (long Degree, double Argument, double *Result)
double	Bspline00Integrate (double Argument)
double	Bspline01Integrate (double Argument)
double	Bspline02Integrate (double Argument)
double	Bspline03Integrate (double Argument)
double	Bspline04Integrate (double Argument)
double	Bspline05Integrate (double Argument)
double	Bspline06Integrate (double Argument)
double	Bspline07Integrate (double Argument)
double	Bspline08Integrate (double Argument)
double	Bspline09Integrate (double Argument)
double	Bspline10Integrate (double Argument)
double	Bspline11Integrate (double Argument)
double	DodgsonIntegrate (double Argument)
double	KeysOptimalIntegrate (double Argument)
int	OmomsIntegrate (long Degree, double Argument, double *Result)
double	Omoms00Integrate (double Argument)
double	Omoms01Integrate (double Argument)
double	Omoms02Integrate (double Argument)
double	Omoms03Integrate (double Argument)
double	SincIntegrate (double Argument)

Detailed Description

Function Documentation

Blip00Integrate()

double Blip00Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Blu interpolant function of degree 0 (order 1)

Blip01Integrate()

double Blip01Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Blu interpolant function of degree 1 (order 2)

Blip03Integrate()

double Blip03Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Blu interpolant function of degree 3 (order 4)

BlipIntegrate()

int BlipIntegrate	(	long	Degree,
		double	Argument,
		double *	Result
	)

Computes the integral(-Infinity, Argument) for a Blu interpolant function. success: return(!ERROR); failure: return(ERROR);

Bspline00Integrate()

double Bspline00Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Basic spline function of degree 0 (order 1)

Bspline01Integrate()

double Bspline01Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Basic spline function of degree 1 (order 2)

Bspline02Integrate()

double Bspline02Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Basic spline function of degree 2 (order 3)

Bspline03Integrate()

double Bspline03Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Basic spline function of degree 3 (order 4)

Bspline04Integrate()

double Bspline04Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Basic spline function of degree 4 (order 5)

Bspline05Integrate()

double Bspline05Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Basic spline function of degree 5 (order 6)

Bspline06Integrate()

double Bspline06Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Basic spline function of degree 6 (order 7)

Bspline07Integrate()

double Bspline07Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Basic spline function of degree 7 (order 8)

Bspline08Integrate()

double Bspline08Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Basic spline function of degree 8 (order 9)

Bspline09Integrate()

double Bspline09Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Basic spline function of degree 9 (order 10)

Bspline10Integrate()

double Bspline10Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Basic spline function of degree 10 (order 11)

Bspline11Integrate()

double Bspline11Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Basic spline function of degree 11 (order 12)

BsplineIntegrate()

int BsplineIntegrate	(	long	Degree,
		double	Argument,
		double *	Result
	)

Computes the integral(-Infinity, Argument) for a Basic spline function of degree Degree. success: return(!ERROR); failure: return(ERROR);

DodgsonIntegrate()

double DodgsonIntegrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Dodgson kernel (order 2) evaluated at Argument

KeysOptimalIntegrate()

double KeysOptimalIntegrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a cubic Keys optimal kernel (order 3) evaluated at Argument

Omoms00Integrate()

double Omoms00Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Blu interpolant function of degree 0 (order 1)

Omoms01Integrate()

double Omoms01Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Blu interpolant function of degree 1 (order 2)

Omoms02Integrate()

double Omoms02Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Blu interpolant function of degree 2 (order 3)

Omoms03Integrate()

double Omoms03Integrate

(

double

Argument

)

Returns the integral(-Infinity, Argument) for a Blu interpolant function of degree 3 (order 4)

OmomsIntegrate()

int OmomsIntegrate	(	long	Degree,
		double	Argument,
		double *	Result
	)

Computes the integral(-Infinity, Argument) for a Blu optimum function. success: return(!ERROR); failure: return(ERROR);

SincIntegrate()

double SincIntegrate

(

double

Argument

)

Returns the approximate integral(-Infinity, Argument) for a sinc kernel evaluated at Argument. Maximum error is about 2.0E-7